Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)
, you could simplify this equation to get which of these choices? (1 point)
Responses
35x+14=−24+20x
35 x plus 14 is equal to negative 24 plus 20 x
35x+2=−24−5x
35 x plus 2 is equal to negative 24 minus 5 x
35x+10=−24+20x
35 x plus 10 is equal to negative 24 plus 20 x
35x+2=24−20x
35 x plus 2 is equal to 24 minus 20 x
5x+14=6+20x
The correct choice is: 35x+10=−24+20x
To simplify the equation using the Distributive Property, you need to distribute the coefficients 7 and -4 to the terms inside the parentheses.
For the left side of the equation, you have:
7(5x + 2) = 7 * 5x + 7 * 2 = 35x + 14
For the right side of the equation, you have:
-4(6 - 5x) = -4 * 6 + -4 * (-5x) = -24 + 20x
So the simplified equation becomes:
35x + 14 = -24 + 20x